221415012 has 144 divisors (see below), whose sum is σ = 710801280. Its totient is φ = 58361472.

The previous prime is 221414969. The next prime is 221415017. The reversal of 221415012 is 210514122.

221415012 is a `hidden beast` number, since 22 + 141 + 501 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221415017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126898 + ... + 128630.

It is an arithmetic number, because the mean of its divisors is an integer number (4936120).

Almost surely, 2^221415012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221415012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355400640).

221415012 is an abundant number, since it is smaller than the sum of its proper divisors (489386268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221415012 is a wasteful number, since it uses less digits than its factorization.

221415012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 221415012 is about 14880.0205645019. The cubic root of 221415012 is about 604.9725753113.

Adding to 221415012 its reverse (210514122), we get a palindrome (431929134).

The spelling of 221415012 in words is "two hundred twenty-one million, four hundred fifteen thousand, twelve".